Consider the function f(x) = -2x3 + 27x² – 84x + 10. This function has two critical numbers A < B: %3D A = and B = f"(A) = f"(B) = Thus f(x) has a local at A (type in MAX or MIN) and a local at B (type in MAX or MIN).

Q: The local linear approximation for f (x) = Vx2 + 16 near x = -3 is

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Q: Find all critical points for the function f(x) V(x2 - 4). %3D

A: Given function f(x)=x2-4  To Find all critical points of the given function.

Q: The function f(x) = 2x° - 36x + 192x 8 has two critical numbers. %3D The smaller one is x = and the…

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Q: Find the critical numbers of the function. f(x) = x² log,(x? + 2)

A: fx=x2log7x2+2⇒fx=x2logx2+2ln7      ∵logab=logblna Critical numbers are the values of x for which…

Q: The function f(x) = 2x 30x + 126x – 6 has two critical numbers. %3D The smaller one is x = and the…

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Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the…

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Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: Consider the function f(x)=−2x2 +2x−3. Find the critical point, A, of the function A=? At x=A,…

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Q: If f(x) = x – kx-1 has a relative maximum at x = -2, then the value of k is %3D

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Q: Find the critical points of the function f(x)=2x^2−4x.

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Q: Find the critical numbers of the function. y-4 g(v): y2 - 2y + 8

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Q: Consider the function f(x, y) = 2x4 +y² – x² – 2y. The critical points of f -

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Q: Find all critical points of the function y= x^4 - 8x^2.

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Q: Find the critical point for the function f(x)=-x² +3x+1

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Q: Find the critical numbers of the function. y-4 g(v) = y2 - 2y + 8

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Q: The function f(x) = 2x – 45x + 300x – 5 has two critical numbers. The smaller one is x : %3D and the…

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Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

Q: find the critical point and classify the function f(x,y)= x3 +y3 - 6xy

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Q: The function f(x) = 2x 30x2 + 126x 1 has two critical numbers. - The smaller one is x = and the…

A: Solution: the objective is to find the critical numbers of the given function

Q: Find the critical point of the function f(x, y) = 1 - x – 6x² – 8y + 3y?

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Q: Find the positive critical point of the function f(x) =

A: For critical points set first derivative of function is equal to zero and solve for x . f ' ( x ) =…

Q: Find the critical point of the function: f(x, y) = 4x2 + 2y2 − xy + x

A: we have given a function f(x, y)  We have to find the critical point

Q: Find the positive critical point of the function f(x) = : 8+6 * x =

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Q: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

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Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: Find the critical numbers of the function.

A: Let f be defined at k if f'(k)=0, then k is a critical number of f.Since, the function is given by…

Q: Find the critical point of the function f(x, y) = 8 – 4x + 7x² – 6y – y? - -

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Q: Consider the function f(x) = -6x2 + 4x - 4.  Find the critical point, A of the function. At x = A,…

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Q: The function f(x) = 2x° – 27x² + 108x – 5 has two critical numbers. The smaller one is x = and the…

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Q: Find the positive critical point of the function f (x) = x / x^4 + 4

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Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Let f(x) = 18xe - 1s. (a) f'(x) (b) Solve f'(x) = 0 to determine the critical values of f.

A: Recall: (uv)'=u'v+v'u

Q: Find the critical point (xo, yo) of the function f(x, y) = 2x2 + 2xy + y? + 2x – 3.

A: Consider both the image for the solution.

Q: Find the critical point/s of the function f(x,y) x³+2xy-2x-4y

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Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

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Q: The function f(x) = 2x³ − 42x² + 270x – 4 has two critical numbers. The smaller one is x = and the…

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Q: Determine all the critical points for the function y = Vx² (2t- 1)

A: Given function is in two variables x and t For critical points we calculate Partial derivatives…

Q: Find the critical points of the function f(x)=x2−4x+3x−2.

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Q: Where does the function f(x,y)=3 − 10x + 12y − 5x2 − 6y2 have a critical point?

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Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: Find the critical numbers of the function.   g(t)  =| 3t - 4  |

A: Given function:

Q: Find the critical numbers of the function. b. g(x) = V1- x² %3!

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Q: Find the critical numbers of the function: g(θ)=40θ−10tan(θ), where −π&lt;θ&lt;π

A: To find the critical points, put g'(θ)=0  Note: for sec(theta)= k,    where −π&lt;(theta)&lt;π…

Q: The function f(x) = 2x – 33x + 60x – 8 has two critical numbers. The smaller one is x = and the…

A: To find the critical point use the differentiation .

Q: find all critical points of the function f (x) = xe^2x

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Q: The value of Wronskian of two functions y, =7* and y2 =7** is

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Q: Find the critical points of the function f(x,y)=x^2+y^2+6x−10y+1

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Q: Consider the function y = 3x - C(In x) where C represents a constant. If this function has a local…

A: If any given function f(x) has local maxima or minima at x=a, then the point corresponding to x=a…

Q: Find the critical numbers of the function F(x) = x4/5(x - 8)2 %3D I

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Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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